Solve the boundary-value problem a²u 0х2 + sin(x) u(0, t) = 500, = ди at 0 < x < π, 500, u(π, t) = 100, t> 0 t> 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

i require some assistance!

Solve the boundary-value problem
a²u
ах2
u(x, t) =
+ sin(x)
||
=
ди
at
u(0, t) = 500, u(π, t) = 100, t> 0
u(x, 0) = 500 + sin(x),
0 < x < π,
X
+
0 < x < π.
∞0
t> 0
n = 1
Transcribed Image Text:Solve the boundary-value problem a²u ах2 u(x, t) = + sin(x) || = ди at u(0, t) = 500, u(π, t) = 100, t> 0 u(x, 0) = 500 + sin(x), 0 < x < π, X + 0 < x < π. ∞0 t> 0 n = 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,